Q. 184.5( 4 Votes )

Using binominal t

Answer :

(i) (101)4


To find: Value of (101)4


Formula used: (i)


(ii) (a+b)n = nC0an + nC1an-1b + nC2an-2b2 + …… +nCn-1abn-1 + nCnbn


101 = (100+1)


Now (101)4 = (100+1)4


(100+1)4 =





= 104060401


Ans) 104060401


(ii) (98)4


To find: Value of (98)4


Formula used: (I)


(ii) (a+b)n = nC0an + nC1an-1b + nC2an-2b2 + …… +nCn-1abn-1 + nCnbn


98 = (100-2)


Now (98)4 = (100-2)4


(100-2)4





= 92236816


Ans) 92236816


(iii) (1.2)4


To find: Value of (1.2)4


Formula used: (i)


(ii) (a+b)n = nC0an + nC1an-1b + nC2an-2b2 + …… +nCn-1abn-1 + nCnbn


1.2 = (1 + 0.2)


Now (1.2)4 = (1 + 0.2)4


(1+0.2)4





= 2.0736


Ans) 2.0736


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